Results 41 to 50 of about 3,756,040 (69)
Journal of Mathematics, Volume 2026, Issue 1, 2026.Motivated by the recent work of Samraiz, Ashraf and Naheed [J. Inequal. Appl. (2026)], which established Newton‐type inequalities for differentiable p‐convex functions via (k, s)‐Riemann–Liouville fractional integrals, the present paper develops a parameterized framework for related Newton‐type estimates. Two ingredients are considered. First, a kernel
Liqiang Chen +2 more
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New General Integral Inequalities for Lipschitzian Functions via Hadamard Fractional Integrals
International Journal of Analysis, Volume 2014, Issue 1, 2014., 2014 The author obtains new estimates on generalization of Hadamard, Ostrowski, and Simpson type inequalities for Lipschitzian functions via Hadamard fractional integrals. Some applications to special means of positive real numbers are also given.
İmdat İşcan, Julien Salomon
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Journal of Mathematics, Volume 2026, Issue 1, 2026.Existing two‐dimensional Hermite–Hadamard refinements typically rely on a single center‐point evaluation, and no partition‐based scheme exploiting the full symmetry of edge‐midpoints and quarter‐points has been systematized. In this paper, we develop a subdivision‐based refinement of the Hermite–Hadamard inequality for co‐ordinated convex functions on ...
Rishav Jha +2 more
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Sharp Inequalities for Trigonometric Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We establish several sharp inequalities for trigonometric functions and present their corresponding inequalities for bivariate means.
Zhen-Hang Yang +4 more
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New sharp bounds for identric mean in terms of logarithmic mean and arithmetic mean [PDF]
Journal of Mathematical Inequalities, 2012 Let x,y>0 with xy. We give new sharp bounds for identric mean I =e −1 (x x /y y ) 1/(x−y) in terms of logarithmic mean L =( x −y)/(lnx −lny) and arithmetic mean A =( x+y)/2: 1 2 L p0 + 1 2 A p0 1/p0 < I < 1 2 L ˜ p0 + 1 2 A ˜ p0 1/ ˜ p0 ,
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A Class of Logarithmically Completely Monotonic Functions and Their Applications
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We study the recent investigations on a class of functions which are logarithmically completely monotonic. Two open problems are also presented.
Senlin Guo, Qiu-Ming Luo
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Integral Representations for Bivariate Complex Geometric Mean and Applications
, 2017 In the paper, the authors survey integral representations (including the Lévy--Khintchine representations) and applications of some bivariate means (including the logarithmic mean, the identric mean, Stolarsky's mean, the harmonic mean, the ...
Feng Qi, Dongkyu Lim
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Phon Mean oral history recording
, 2001 An audio recording of an oral history of Phon Mean about fleeing Cambodia with her family at age ten and coming to the United States. She talks about life in Cambodia when she was a child and then about life in the U.S., including school, her first job ...
Mean, Phon
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An Optimal Two Parameter Bounds for the Identric Mean
, 2012 In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
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OPTIMAL CONVEX COMBINATIONS BOUNDS OF CENTROIDAL AND HARMONIC MEANS FOR LOGARITHMIC AND IDENTRIC MEANS [PDF]
, 2013 We find the greatest values α1 and α2, and the least values β1 and β2 such that the inequalities α1C(a, b) , and I(a, b) are the centroidal, harmonic, logarithmic, and identric means of two positive numbers a and b ...
S W Hou, Y M Chu, W F Xia
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